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Finding the Fourth Proportional to 3,916.95, 5,875.62 and 1,966.87

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Solution

The fourth proportional to 3,916.95, 5,875.62 and 1,966.87 is: 2,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.95 : 5,875.62 = 1,966.87 : x
  2. Step 2: Convert to fraction form
    3,916.95/5,875.62 = 1,966.87/x
  3. Step 3: Cross multiply
    3,916.95x = 5,875.62 × 1,966.87
  4. Step 4: Simplify right side
    3,916.95x = 11,556,580.71
  5. Step 5: Solve for x
    x = 11,556,580.71/3,916.95
  6. Step 6: Final answer
    x = 2,950.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.